Geodesic
Mathematical model of electromagnetic drying with boundary conditions of mass transfer on the basis of Dalton's law of evaporation
Matematičeskaâ fizika i kompʹûternoe modelirovanie, no. 6 (2014), pp. 69-80

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The drying electromagnetic waves with boundary conditions of mass transfer are analyzed on the basis of the laws of Newton and Dalton. In the Newton's model the rate of moisture evaporation from the surface of the sample is proportional to the difference between the current moisture content on the surface and the equilibrium moisture content of material. In the Dalton's model the evaporation rate is proportional to the difference of partial pressure of water vapor through the thickness of the boundary layer. Under conditions of Newton's intensity drying there is a function of moisture content on the surface, and under the conditions of Dalton - the temperature function is on this surface. It is shown that the mass transfer by Newton's law leads to a contradiction of the regularity of the period of constant drying rate. In contrast, the use of boundary conditions of mass transfer on the basis of Dalton's law of evaporation leads to a complete accordance with the experiment. This statement is proved by the direct construction of solutions of initial-boundary value problem for the fields of temperature and moisture content during the electromagnetic drying of the plate.
Keywords: mathematical modeling, electromagnetic drying, Dalton's law of evaporation, period of constant drying rate. 
@article{VVGUM_2014_6_a7,
     author = {A. M. Afanasyev and B. N. Siplivyy},
     title = {Mathematical model of electromagnetic drying with boundary conditions of mass transfer on the basis of {Dalton's} law of evaporation},
     journal = {Matemati\v{c}eska\^a fizika i kompʹ\^uternoe modelirovanie},
     pages = {69--80},
     publisher = {mathdoc},
     number = {6},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VVGUM_2014_6_a7/}
}
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A. M. Afanasyev; B. N. Siplivyy. Mathematical model of electromagnetic drying with boundary conditions of mass transfer on the basis of Dalton's law of evaporation. Matematičeskaâ fizika i kompʹûternoe modelirovanie, no. 6 (2014), pp. 69-80. http://geodesic.mathdoc.fr/item/VVGUM_2014_6_a7/